© 2016, Springer International Publishing. In this paper we study the cyclicity of the centers of the quartic polynomial family written in complex notation as (Formula presented.), where A, B, C∈ C. We give an upper bound for the cyclicity of any nonlinear center at the origin when we perturb it inside this family. Moreover we prove that this upper bound is sharp.
|Journal||Nonlinear Differential Equations and Applications|
|Publication status||Published - 1 Jun 2016|
- Bautin ideal
- limit cycle
- polynomial vector fields